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10400441010 = 2351093180563
BaseRepresentation
bin10011010111110101…
…00010001010110010
3222211211021010220220
421223322202022302
5132300003103020
64440005313510
7515506201311
oct115372421262
928754233826
1010400441010
1144578612a3
122023105896
13c9995470b
14709400278
1540d10c240
hex26bea22b2

10400441010 has 32 divisors (see below), whose sum is σ = 25190066880. Its totient is φ = 2748005568.

The previous prime is 10400440987. The next prime is 10400441053. The reversal of 10400441010 is 1014400401.

10400441010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1587012 + ... + 1593551.

It is an arithmetic number, because the mean of its divisors is an integer number (787189590).

Almost surely, 210400441010 is an apocalyptic number.

10400441010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10400441010 is an abundant number, since it is smaller than the sum of its proper divisors (14789625870).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10400441010 is a wasteful number, since it uses less digits than its factorization.

10400441010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3180682.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10400441010 its reverse (1014400401), we get a palindrome (11414841411).

The spelling of 10400441010 in words is "ten billion, four hundred million, four hundred forty-one thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 109 218 327 545 654 1090 1635 3270 3180563 6361126 9541689 15902815 19083378 31805630 47708445 95416890 346681367 693362734 1040044101 1733406835 2080088202 3466813670 5200220505 10400441010